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Finding the Fourth Proportional to 32,374.55, 48,561.74 and 10,189.86

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Solution

The fourth proportional to 32,374.55, 48,561.74 and 10,189.86 is: 15,284.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,374.55 : 48,561.74 = 10,189.86 : x
  2. Step 2: Convert to fraction form
    32,374.55/48,561.74 = 10,189.86/x
  3. Step 3: Cross multiply
    32,374.55x = 48,561.74 × 10,189.86
  4. Step 4: Simplify right side
    32,374.55x = 494,837,357.43
  5. Step 5: Solve for x
    x = 494,837,357.43/32,374.55
  6. Step 6: Final answer
    x = 15,284.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.